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Finding the Third Proportional to 155,192 and 335,164

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Solution

The third proportional to 155,192 and 335,164 is: 723,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,192 : 335,164 = 335,164 : x
  2. Step 2: Convert to fraction form
    155,192/335,164 = 335,164/x
  3. Step 3: Cross multiply
    155,192x = 335,164 × 335,164
  4. Step 4: Simplify right side
    155,192x = 112,334,906,896
  5. Step 5: Solve for x
    x = 112,334,906,896/155,192
  6. Step 6: Final answer
    x = 723,844.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.